Level of Detail modeling method is an effective approach for the interactive visualization of complex models. In this paper, we propose a hierarchical tree structure based on fractal dimension to organize the 3D-terrain mesh model and realize the view-dependent continuous level of detail rendering of terrain data with restricted quadtree triangulation method. The total algorithm can be divided into two stages: preprocessing and rendering. In preprocessing, it builds an adaptive hierarchical structure by considering the flatness of terrain surface evaluated by the fractal dimension. Then it can generate triangular approximation mesh by dynamically determining preserved data points according to the view related parameters and performing a restricted quadtree triangulation. Some experiments demonstrate that it is simple and efficient and can be used to support the interactive dynamic rendering of terrain model.